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수학강연회
Date 2021-09-30
Speaker 최경수
Dept. 고등과학원 수학부
Room 선택
Time 16:00-17:00


The mean curvature flow is an evolution of hypersurfaces satisfying a geometric heat equation. The flow naturally develops singularities and changes the topology of the hypersurfaces at singularities, Therefore, one can study topological problems via singularity analysis for parabolic partial differential equations. Indeed, linearly stable singularities are just round cylinders, and thus we can expect how to change the topology of generic solutions to the flow.

In this talk, we first introduce the mean curvature flow, the blow-up analysis, and the stability of singularities. If time permits, we also discuss the well-posedness problem through linearly stable singularities.

제목
2013-03-14    Non-commutative L^p-spaces and analysis on quantum spaces 이훈희  27-109 
2013-03-21  08:00  ε Colloquia : Constructions by ruler and compass together with a conic 최인송  27-109 
2013-03-28  08:00  Compressible viscous Navier-Stokes flows: Corner singularity, regularity 권재룡  27-109 
2013-05-02  08:00  ε Colloquia : Sir Isaac Newton and scientific computing 신동우  27-109 
2013-05-16  08:00  ε Colloquia: Mathematics from the theory of entanglement 계승혁  27-109 
2013-05-30  08:00  Volume conjecture 김혁  27-109 
2013-10-31  16:00  Connes's Embedding Conjecture and its equivalent Narutaka Ozawa  129-101 
2013-11-07  08:00  The logarithmic singularities of the Green functions of the conformal powers of the Laplacian Raphael Ponge  129-101 
2014-03-13  16:00-17:00  Subgroups of Mapping Class Groups 김상현  129-101 
2014-03-20  16:00-17:00  The Topology of Tiling Spaces Jean Bellissard  129-101 
2014-03-27  16:00-17:00  The Shape of Data Gunnar Carlsson  129-101 
2014-04-03  16:00-17:00  Noncommutative Surfaces Jens Hoppe  129-101 
2014-04-10  16:00-17:00  Categorification of Donaldson-Thomas invariants 김영훈  129-101 
2014-04-17  16:00-17:00  Random conformal geometry of Coulomb gas formalism 강남규  129-101 
2014-05-01  16:00-17:00  Normal form reduction for unconditional well-posedness of canonical dispersive equations 권순식  129-101 
2014-05-08  16:00-17:00  Riemann-Hilbert correspondence for irregular holonomic D-modules Masaki Kashiwara  129-101 
2014-05-15  16:00-17:00  Existence of positive solutions for phi-Laplacian systems file 이용훈  129-101 
2014-05-22  16:00-17:00  Recent progress on the Brascamp-Lieb inequality and applications Neal Bez  129-101 
2014-05-29  16:00-17:00  On property (RD) Irine Peng  129-101 
2014-09-11  16:00-17:00  특수 복소 선형군의 불변 다항식 김상집  129-101